'anti-liturgical' is formed in English from the prefix 'anti-' (from Greek 'anti', meaning 'against') combined with 'liturgical' (relating to 'liturgy').

'liturgical' ultimately comes from Greek 'leitourgia' (λειτουργία) meaning 'public service, worship', via Latin and Middle English; 'anti-' is a Greek prefix meaning 'against', and the modern compound 'anti-liturgical' arose in English by combining these elements.

Originally the elements meant 'against' + 'public worship/service'; over time the compound has come to mean specifically 'opposed to liturgy or formal ritual in worship' in modern usage.